{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Think Bayes\n", "\n", "Second Edition\n", "\n", "Copyright 2020 Allen B. Downey\n", "\n", "License: [Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)](https://creativecommons.org/licenses/by-nc-sa/4.0/)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# If we're running on Colab, install empiricaldist\n", "# https://pypi.org/project/empiricaldist/\n", "\n", "import sys\n", "IN_COLAB = 'google.colab' in sys.modules\n", "\n", "if IN_COLAB:\n", " !pip install empiricaldist" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Get utils.py and create directories\n", "\n", "import os\n", "\n", "if not os.path.exists('utils.py'):\n", " !wget https://github.com/AllenDowney/ThinkBayes2/raw/master/code/soln/utils.py\n", " \n", "if not os.path.exists('figs'):\n", " !mkdir figs\n", " \n", "if not os.path.exists('tables'):\n", " !mkdir tables" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "from empiricaldist import Pmf, Cdf\n", "from utils import decorate, savefig, write_table" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from utils import normalize\n", "\n", "def update_norm(prior, data):\n", " \"\"\"Update the prior based on data.\n", " \n", " prior: joint distribution of mu and sigma\n", " data: sequence of observations\n", " \"\"\"\n", " X, Y, Z = np.meshgrid(prior.columns, prior.index, data)\n", " likelihood = norm.pdf(Z, Y, X).prod(axis=2)\n", "\n", " posterior = prior * likelihood\n", " normalize(posterior)\n", "\n", " return posterior" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def plot_contour(joint, **options):\n", " \"\"\"Plot a joint distribution.\n", " \n", " joint: DataFrame representing a joint PMF\n", " \"\"\"\n", " cs = plt.contour(joint.columns, joint.index, joint, **options)\n", " decorate(xlabel='Standard deviation', ylabel='Mean')\n", " return cs" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import gaussian_kde\n", "\n", "def make_kde(pmf, n=101):\n", " \"\"\"Make a kernel density estimate for a PMF.\n", " \n", " pmf: Pmf object\n", " n: number of points\n", " \n", " returns: Pmf object\n", " \"\"\"\n", " kde = gaussian_kde(pmf.qs, weights=pmf.ps)\n", " qs = np.linspace(pmf.qs.min(), pmf.qs.max(), n)\n", " ps = kde.evaluate(qs)\n", " pmf = Pmf(ps, qs)\n", " pmf.normalize()\n", " return pmf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** This question is inspired by [a question that appeared on Reddit](https://www.reddit.com/r/statistics/comments/hef2tw/r_statistics_in_a_mango_farm/).\n", "\n", "Suppose you own a mango farm with 1800 trees. Every year as harvest time approached, you would like to estimate the total weight of the mangos on the trees.\n", "\n", "And suppose you hire a professional mango estimator who can look at a tree and estimate the total number of mangos and their average weight. The estimator is not perfect, but they are pretty accurate on average.\n", "\n", "Finally, suppose the estimator inspects 10 trees and reports the following data:\n", "\n", "Mangos per tree: 50, 60, 70, 80, 90, 100...\n", "\n", "Average weight in each tree: x, y, z\n", "\n", "Compute posterior distributions for (1) the total number of mangos on all trees and (2) their total weight.\n", "\n", "To get you started, I'll solve two easier problems:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. First, suppose you know that the number of mangos in the trees is well described by a normal distribution with mean $\\mu_n = 80$ and standard deviation $\\sigma_n = 8$. And suppose we compute the average weight of the mangos in each tree; some trees yield bigger mangos that others, but the distribution of averages is well describes by a normal distribution with mean $\\mu_w = 150$ grams and standard deviation $\\sigma_w = 15$ grams. \n", "\n", "I'll assign these parameters to variables and make `norm` objects to represent the distributions." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "mu_n = 80\n", "sigma_n = 8\n", "mu_w = 150\n", "sigma_w = 15" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import norm\n", "\n", "dist_n = norm(mu_n, sigma_n)\n", "dist_w = norm(mu_w, sigma_w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on these parameters, what is the distribution for the total number of mangos on 1800 trees, and for their total weight?\n", "\n", "To keep things simple, let's assume there is no correlation between the number of mangos and their size, so we can solve this problem by drawing random values from the two distributions independently." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1000, 1800)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_n = dist_n.rvs((1000, 1800))\n", "sample_n.shape" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1000,)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_total_n = sample_n.sum(axis=1)\n", "sample_total_n.shape" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(143989.45329630317, 339.5205039844598)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_total_n.mean(), sample_total_n.std()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cdf_total_n = Cdf.from_seq(sample_total_n)\n", "cdf_total_n.plot()\n", "\n", "decorate(xlabel='Total number of mangos',\n", " ylabel='CDF')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1000, 1800)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_w = dist_w.rvs((1000, 1800))\n", "sample_w.shape" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1000,)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_total_w = (sample_n * sample_w).sum(axis=1) / 1000\n", "sample_total_w.shape" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(21598.75793455604, 73.8731442313877)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_total_w.mean(), sample_total_w.std()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cdf_total_w = Cdf.from_seq(sample_total_w)\n", "cdf_total_w.plot(color='C1')\n", "\n", "decorate(xlabel='Total weight (kg)',\n", " ylabel='CDF')" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def simulate_harvest(dist_n, dist_w, iters=1000, trees=1800):\n", " \"\"\"Generate samples based on distributions of parameters.\n", " \n", " dist_n: distribution of number of mangos\n", " dist_w: distribution of mango weight\n", " iters: number of simulations\n", " trees: number of trees\n", " \n", " returns: tuple of samples, (number of mangos, total weight)\n", " \"\"\"\n", " sample_n = dist_n.rvs((iters, trees))\n", " sample_total_n = sample_n.sum(axis=1)\n", " sample_w = dist_w.rvs((iters, trees))\n", " sample_total_w = (sample_n * sample_w).sum(axis=1) / 1000\n", " return sample_total_n, sample_total_w" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2. Next, suppose we know from previous harvests that the parameters we used in the previous step vary from year to year, depending on the ages of the trees, weather, and other factors. And suppose that the distributions of $\\mu_n$ and $\\mu_w$ are well modeled by normal distributions, and the distributions of $\\sigma^2_n$ and $\\sigma^2_w$, under the transformation\n", "$t = n s^2 / \\sigma^2$, are well-modeled by chi-square distributions, (where $n$ is the sample size, $s$ is the sample standard deviation, and $\\sigma$ is the population standard deviation)." ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import chi2\n", "\n", "dist_mu_n = norm(70, 15)\n", "dist_mu_w = norm(140, 20)\n", "dist_sigma_n = norm(10, 3)\n", "dist_sigma_w = norm(15, 5)" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [], "source": [ "def make_pmf(dist, low, high, n=101):\n", " \"\"\"Make a Pmf that approximates a distribution.\n", " \n", " dist: distribution\n", " low: lower bound\n", " high: upper bound\n", " n: number of points\n", " \n", " returns: Pmf\n", " \"\"\"\n", " qs = np.linspace(low, high, n)\n", " ps = dist.pdf(qs)\n", " pmf = Pmf(ps, qs)\n", " pmf.normalize()\n", " return pmf" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pmf_mu_n = make_pmf(dist_mu_n, 20, 120)\n", "pmf_mu_n.plot()" ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pmf_mu_w = make_pmf(dist_mu_w, 60, 220)\n", "pmf_mu_w.plot()" ] }, { "cell_type": "code", "execution_count": 139, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pmf_sigma_n = make_pmf(dist_sigma_n, 1, 21)\n", "pmf_sigma_n.plot(color='C1')" ] }, { "cell_type": "code", "execution_count": 140, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pmf_sigma_w = make_pmf(dist_sigma_w, 1, 31)\n", "pmf_sigma_w.plot(color='C1')" ] }, { "cell_type": "code", "execution_count": 141, "metadata": {}, "outputs": [], "source": [ "def sample_parameters(dist_mu, dist_sigma, iters=1000):\n", " \"\"\"Sample from the distributions of parameters.\n", " \n", " dist_mu: distribution of the population mean\n", " dist_sigma: distribution of the population std\n", " iters: number of rows in the result\n", " \n", " returns: array with one column per parameters\n", " \"\"\"\n", " sample_mu = dist_mu.rvs(iters)\n", " sample_sigma = dist_sigma.rvs(iters)\n", " parameters = np.transpose([sample_mu, sample_sigma])\n", " return parameters" ] }, { "cell_type": "code", "execution_count": 142, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1000, 2)" ] }, "execution_count": 142, "metadata": {}, "output_type": "execute_result" } ], "source": [ "parameters_n = sample_parameters(dist_mu_n, dist_sigma_n)\n", "parameters_n.shape" ] }, { "cell_type": "code", "execution_count": 143, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([69.77846454, 10.02333357])" ] }, "execution_count": 143, "metadata": {}, "output_type": "execute_result" } ], "source": [ "parameters_n.mean(axis=0)" ] }, { "cell_type": "code", "execution_count": 144, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1000, 2)" ] }, "execution_count": 144, "metadata": {}, "output_type": "execute_result" } ], "source": [ "parameters_w = sample_parameters(dist_mu_w, dist_sigma_w)\n", "parameters_w.shape" ] }, { "cell_type": "code", "execution_count": 145, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([140.05835092, 15.15800028])" ] }, "execution_count": 145, "metadata": {}, "output_type": "execute_result" } ], "source": [ "parameters_w.mean(axis=0)" ] }, { "cell_type": "code", "execution_count": 146, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1000, 4)" ] }, "execution_count": 146, "metadata": {}, "output_type": "execute_result" } ], "source": [ "parameters = np.hstack([parameters_n, parameters_w])\n", "parameters.shape" ] }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [], "source": [ "def run_simulations(parameters):\n", " \"\"\"Run a simulated harvest for each row of parameters.\n", " \n", " parameters: array with one column per parameter\n", " \n", " returns: array with one column for total mangos and\n", " one column for total weight\n", " \"\"\"\n", " sample_totals = []\n", "\n", " for mu_n, sigma_n, mu_w, sigma_w in parameters:\n", " dist_n = norm(mu_n, sigma_n)\n", " dist_w = norm(mu_w, sigma_w)\n", " totals = simulate_harvest(dist_n, dist_w, iters=1)\n", " sample_totals.append(totals)\n", " \n", " a = np.array(sample_totals)\n", " return a.reshape((1000, 2)).transpose()" ] }, { "cell_type": "code", "execution_count": 148, "metadata": {}, "outputs": [], "source": [ "sample2_total_n, sample2_total_w = run_simulations(parameters)" ] }, { "cell_type": "code", "execution_count": 149, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(125604.05124205459, 27565.540626132337)" ] }, "execution_count": 149, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample2_total_n.mean(), sample2_total_n.std()" ] }, { "cell_type": "code", "execution_count": 150, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cdf_total_n = Cdf.from_seq(sample_total_n)\n", "cdf_total_n.plot()\n", "\n", "cdf2_total_n = Cdf.from_seq(sample2_total_n)\n", "cdf2_total_n.plot()\n", "\n", "decorate(xlabel='Total number of mangos',\n", " ylabel='CDF')" ] }, { "cell_type": "code", "execution_count": 151, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(17583.46649089755, 4644.319596604624)" ] }, "execution_count": 151, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample2_total_w.mean(), sample2_total_w.std()" ] }, { "cell_type": "code", "execution_count": 152, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cdf_total_w = Cdf.from_seq(sample_total_w)\n", "cdf_total_w.plot()\n", "\n", "cdf2_total_w = Cdf.from_seq(sample2_total_w)\n", "cdf2_total_w.plot()\n", "\n", "decorate(xlabel='Total weight in kg',\n", " ylabel='CDF')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate fake data" ] }, { "cell_type": "code", "execution_count": 161, "metadata": {}, "outputs": [], "source": [ "mu_n = 80\n", "sigma_n = 8\n", "mu_w = 150\n", "sigma_w = 15" ] }, { "cell_type": "code", "execution_count": 162, "metadata": {}, "outputs": [], "source": [ "dist_n = norm(mu_n, sigma_n)\n", "dist_w = norm(mu_w, sigma_w)" ] }, { "cell_type": "code", "execution_count": 163, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([74, 72, 65, 73, 67, 89, 85, 70, 75, 80])" ] }, "execution_count": 163, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_size = 10\n", "data_n = dist_n.rvs(sample_size).astype(int)\n", "data_n" ] }, { "cell_type": "code", "execution_count": 164, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([135, 118, 136, 176, 166, 165, 175, 190, 164, 153])" ] }, "execution_count": 164, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_w = dist_w.rvs(sample_size).astype(int)\n", "data_w" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Update the distributions" ] }, { "cell_type": "code", "execution_count": 165, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from utils import outer_product\n", "\n", "prior_n = outer_product(pmf_mu_n, pmf_sigma_n)\n", "plot_contour(prior_n)\n", "decorate(title='Joint prior distribution of parameters for n')" ] }, { "cell_type": "code", "execution_count": 166, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9999999999999998" ] }, "execution_count": 166, "metadata": {}, "output_type": "execute_result" } ], "source": [ "posterior_n = update_norm(prior_n, data_n)\n", "posterior_n.to_numpy().sum()" ] }, { "cell_type": "code", "execution_count": 167, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "prior_w = outer_product(pmf_mu_w, pmf_sigma_w)\n", "plot_contour(prior_w)\n", "decorate(title='Joint prior distribution of parameters for w')" ] }, { "cell_type": "code", "execution_count": 169, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "posterior_w = update_norm(prior_w, data_w)\n", "plot_contour(posterior_w)\n", "decorate(title='Joint posterior distribution of parameters for w')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Posterior predictive distributions\n", "\n" ] }, { "cell_type": "code", "execution_count": 170, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(70.00000000000001, 75.0, 74.82116612324629)" ] }, "execution_count": 170, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from utils import marginal\n", "\n", "marginal_mu_n = marginal(posterior_n, 1)\n", "pmf_mu_n.mean(), data_n.mean(), marginal_mu_n.mean()" ] }, { "cell_type": "code", "execution_count": 171, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(10.010748154085311, 7.238784428341543, 8.972027617693856)" ] }, "execution_count": 171, "metadata": {}, "output_type": "execute_result" } ], "source": [ "marginal_sigma_n = marginal(posterior_n, 0)\n", "pmf_sigma_n.mean(), data_n.std(), marginal_sigma_n.mean()" ] }, { "cell_type": "code", "execution_count": 172, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(140.0, 157.8, 156.1991439188851)" ] }, "execution_count": 172, "metadata": {}, "output_type": "execute_result" } ], "source": [ "marginal_mu_w = marginal(posterior_w, 1)\n", "pmf_mu_w.mean(), data_w.mean(), marginal_mu_w.mean()" ] }, { "cell_type": "code", "execution_count": 173, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(15.02560017746442, 21.03235602589496, 19.74272668710127)" ] }, "execution_count": 173, "metadata": {}, "output_type": "execute_result" } ], "source": [ "marginal_sigma_w = marginal(posterior_w, 0)\n", "pmf_sigma_w.mean(), data_w.std(), marginal_sigma_w.mean()" ] }, { "cell_type": "code", "execution_count": 174, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "74.756" ] }, "execution_count": 174, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_mu_n = marginal_mu_n.choice(1000)\n", "sample_mu_n.mean()" ] }, { "cell_type": "code", "execution_count": 175, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "9.103" ] }, "execution_count": 175, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_sigma_n = marginal_sigma_n.choice(1000)\n", "sample_sigma_n.mean()" ] }, { "cell_type": "code", "execution_count": 176, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "156.5136" ] }, "execution_count": 176, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_mu_w = marginal_mu_w.choice(1000)\n", "sample_mu_w.mean()" ] }, { "cell_type": "code", "execution_count": 177, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "19.7329" ] }, "execution_count": 177, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_sigma_w = marginal_sigma_w.choice(1000)\n", "sample_sigma_w.mean()" ] }, { "cell_type": "code", "execution_count": 178, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 74.756 , 9.103 , 156.5136, 19.7329])" ] }, "execution_count": 178, "metadata": {}, "output_type": "execute_result" } ], "source": [ "parameters = np.transpose([sample_mu_n, sample_sigma_n,\n", " sample_mu_w, sample_sigma_w])\n", "parameters.mean(axis=0)" ] }, { "cell_type": "code", "execution_count": 179, "metadata": {}, "outputs": [], "source": [ "sample3_total_n, sample3_total_w = run_simulations(parameters)" ] }, { "cell_type": "code", "execution_count": 180, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cdf_total_n = Cdf.from_seq(sample_total_n)\n", "cdf_total_n.plot()\n", "\n", "cdf3_total_n = Cdf.from_seq(sample3_total_n)\n", "cdf3_total_n.plot()\n", "\n", "decorate(xlabel='Total number of mangos',\n", " ylabel='CDF')" ] }, { "cell_type": "code", "execution_count": 181, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cdf_total_w = Cdf.from_seq(sample_total_w)\n", "cdf_total_w.plot()\n", "\n", "cdf3_total_w = Cdf.from_seq(sample3_total_w)\n", "cdf3_total_w.plot()\n", "\n", "decorate(xlabel='Total weight in kg',\n", " ylabel='CDF')" ] }, { "cell_type": "code", "execution_count": 182, "metadata": {}, "outputs": [], "source": [ "import pymc3 as pm\n" ] }, { "cell_type": "code", "execution_count": 183, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model:\n", " \n", " mu = pm.Normal('mu', dist_mu_n.mean(), dist_mu_n.std())\n", " sigma = pm.HalfNormal('sigma', 50)\n", "\n", " # define likelihood\n", " obs = pm.Normal('obs', mu=mu, sd=sigma, observed=data_n)" ] }, { "cell_type": "code", "execution_count": 184, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [sigma, mu]\n", "Sampling 2 chains, 0 divergences: 100%|██████████| 3000/3000 [00:01<00:00, 1948.45draws/s]\n" ] } ], "source": [ "with model:\n", " trace = pm.sample(1000)" ] }, { "cell_type": "code", "execution_count": 185, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/downey/anaconda3/envs/ThinkBayes2/lib/python3.7/site-packages/arviz/plots/backends/matplotlib/distplot.py:38: UserWarning: Argument backend_kwargs has not effect in matplotlib.plot_distSupplied value won't be used\n", " \"Argument backend_kwargs has not effect in matplotlib.plot_dist\"\n", "/home/downey/anaconda3/envs/ThinkBayes2/lib/python3.7/site-packages/arviz/plots/backends/matplotlib/distplot.py:38: UserWarning: Argument backend_kwargs has not effect in matplotlib.plot_distSupplied value won't be used\n", " \"Argument backend_kwargs has not effect in matplotlib.plot_dist\"\n", "/home/downey/anaconda3/envs/ThinkBayes2/lib/python3.7/site-packages/arviz/plots/backends/matplotlib/distplot.py:38: UserWarning: Argument backend_kwargs has not effect in matplotlib.plot_distSupplied value won't be used\n", " \"Argument backend_kwargs has not effect in matplotlib.plot_dist\"\n", "/home/downey/anaconda3/envs/ThinkBayes2/lib/python3.7/site-packages/arviz/plots/backends/matplotlib/distplot.py:38: UserWarning: Argument backend_kwargs has not effect in matplotlib.plot_distSupplied value won't be used\n", " \"Argument backend_kwargs has not effect in matplotlib.plot_dist\"\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with model:\n", " pm.traceplot(trace)" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 186, "metadata": {}, "outputs": [ { "data": { "image/png": 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SovjLGb2q+RCR0KczKJGG5tsHYdO3cOaT0GFotSE/bsolbVs+E4/vgjHVDacpEvpUoEQakrWfwYKnYcg1MPSaakPcbstL8zYRHxXOtaNSA5ygSN1RgRJpKErz4fNboe0gOPMJn2FTf9zKgvQ93Di6m3ruSYOma1AiDcU3D0JJLlz5EYRXPxpETmE5z3y9gWO7JqnnnjR4OoMSaQgy0yDtNRj5e2g70GfYIzPXUlbp4uEL+hMWpmtP0rCpQImEOpcTPv8zJLSBU/7uMyynsJxZq7I4Z2A7zfMkjYKa+ERC3ZJXIWslXPwGRCVUG1JS4eTGt5fidLv5w+juAU5QpH6oQImEsn074duHoPvp0Pc8n2FPzt5A2rZ8HrmwP91b6exJGgc18YmEsi/vArfT02vPx/1MOYXlzFi+gxN7JHPZiE4BTlCk/qhAiYSqDXNgzadw0h2Q5Pt+pr9/vJLCMifXHt8lcLmJBIAKlEgoqiiBmX+B5J4w6hafYdmFZXy9djfXnZDKqb1bBzBBkfqna1AioWj+v2DvNrjmcwiP9Bn29FcbCA8zXDREExFK46MzKJFQk7Mefvg/GHgZpJ7oM2zh5lzeW5zBFSM7q2OENEoqUCKhxFr4/DaIjIPTD53jqaop8zeTHB/F7Wf0DFByIoGlAiUSSpa/D9sWwGn3Q3yKz7BHZ63j67XZTBjWgYRozfUkjZMKlEioKMmDOXdDh+Ge0cp9WJG5l5fmbeLCwe3582k6e5LGSwVKJFR88w8o3QtnPw1hvn81n5yzgZSEKO49uy+R4foVlsZLR7dIKNi+CJa+DsfeCG36+wybuz6b7zfkcOXIzrSI8927T6QxUIESCTZXpWeep2btYfTffIe5LY/NWkfX5Dh+d3LXACYoEhwqUCLBtuglyF4N4x6DKN/dxT9My2BdViG/P7kb0RGaiFAaPxUokWAqyIS5j0DPsdD7bJ9h+8oq+efMtfRsHc/4obopV5oGjSQhEkyz7gTrhnGP+xwMtqzSxYOfrWFfmZOp12oiQmk6VKBEgmX9LFj3ueeepxadfYbd/uFyvlixi2uO68yQTi0Clp5IsKlAiQRDRTHM/Cuk9IZj/+gzbMueYr5YsYuJo7pw3zl9MT7OskQaIxUokWCY9zgUbIeJM/0OBvv6D1sAuHF0NxUnaXLUSUIk0LLXwk/PwaArocvxPsN+SN/D24u2c+Hg9rRuFh3ABEVCgwqUSCC53Z57nqIS4PQHfIZl5pfwh3d+JjU5jvvOOSaACYqEDjXxiQTS8ndh+09w7nMQ17LakLJKFxe/9BMVTjcvXzWU5rEaDFaaJhUokUApyYM590LHY2HQFT7DZq/OYldBGVMnDqdbiuZ5kqarVk18xpixxpj1xph0Y8xdPmImGGPWGGNWG2Perds0RRqBryZD+T44+ymfg8G63Jb/LNhCTISDUd2rP8MSaSpqPIMyxjiA54HTgUxgiTFmhrV2TZWYHsDfgOOttfnGmFb1lbBIg7TtJ/jlLTj+T9Da9zWldxdvZ0VmAfec1YeocA1nJE1bbc6gRgDp1trN1toK4H3gvINifgs8b63NB7DWZtdtmiIN2P7BYJt3hJPv9BmWnl3Eg5+voV/7Zlx7fGoAExQJTbUpUO2BjCrvM73LquoJ9DTG/GCMWWiMGVvdBxljJhlj0owxaTk5OUeWsUhDs+hlyFnrGc4oMs5n2P0zVgPwwuVDcWg4I5FaFajqflPsQe/DgR7AaOAyYIoxJvGQjax9xVo7zFo7LCXF93TWIo1GSR58/zh0Pw16n+kzbNWOAhak7+GOM3rRqWVsABMUCV21KVCZQMcq7zsAO6uJ+dRaW2mt3QKsx1OwRJq2eY9BeSGc8ZDfsBe/20R0RBgXDjm4cUKk6apNgVoC9DDGpBpjIoFLgRkHxXwCnAJgjEnG0+S3uS4TFWlwcjfBkikw5Gpo1cdn2C/b8/li5S6uOrYzLeOjApigSGirsUBZa53ATcBsYC3wgbV2tTHmAWPMud6w2UCuMWYNMBe4w1qbW19JizQIX02G8GgY/Xe/Ya/O30ykI4wbR3cPUGIiDUOtbtS11s4EZh60bHKV1xa4zfsQka0/eKbSOOUeSGjtM8zltsxbn8OFQ9qTFOd70FiRpkhj8YnUNbcb5twDCe3gON9TaQAsy8inuMLF8d2TA5ScSMOhoY5E6tqqj2Dnz3D+SxDpv0ferJVZRDgMJ/dSr1aRg+kMSqQuVZbCN/+ANgNgwCV+Q3fsLWVaWgan9m5Fs2gNCCtyMJ1BidSlRS9BQQac/4LP8fb2e3neJgrLnNx+Rq8AJSfSsOgMSqSuFO+B+U9Bz3GQepLf0LziCj5Iy2B0rxR6tk4IUIIiDYsKlEhd+e4RqCj2OxHhfp8u20FZpZuJo7rUf14iDZQKlEhdyNkAaVNh2LWQ0rPG8MVb8mgeE8HoXhr4X8QXFSiRuvDVZIiIhdF/qzF0ZWYBs1ZlcemIjjXGijRlKlAiR2vL97BhFpx4G8T5v5+prNLF7R8uo3lMBDec0DVACYo0TOrFJ3I03G6Yfbdnrqdj/1Bj+L2frGLD7iKmThxOSoLG3RPxRwVK5GismAZZK+DCKRAR7Td08ZY8PlyaySXDOnJKb117EqmJmvhEjlRFCXzzALQbDP0u8htqreXJ2etplRDF5HP6BihBkYZNBUrkSC18Hgp3wm/+WeNNufM25LB4ax43n9qduCg1XIjUhgqUyJEo3A0LnoHeZ0PnUX5DswvLuGP6ClKT45gwXD33RGpLf8qJHInv/gnOslrdlPvsNxvJKSznlauGEhXuCEByIo2DzqBEDlf2Wvj5TRh+A7Ts5j+0sIz//ryD0b1SGNypRYASFGkcVKBEDteceyEqAU6+s8bQp+ZsoKTCxd1n+p7yXUSqpwIlcjg2fQvpX8FJd0Bskt/QHzft4f0lGVw6vCM9NCCsyGFTgRKpLbcLZt8DiZ1hxCS/odZaHp21jrbNo9WtXOQIqUCJ1NaydyF7NZx2P4T7HwXi67XZrMgs4OJhHYmNVF8kkSOhAiVSG+VF8O1D0GE4HHOB31C32/LM1xto2zyam0/tHqAERRofFSiR2vjx31CUBWc8DMb4Df3o50xW79zHdcenEuHQr5jIkdJvj0hN9u2CH5+FvudDp5F+QwvLKnli9nr6tW/G9SekBihBkcZJjeMiNZn7ELgqPdeeavDc3HRyisp59ephhIX5P9MSEf90BiXiT9ZK+OUdGPk7SPJ/RrSnqJypC7YypndrBnZMDFCCIo2XCpSIL9bCnHsgJhFO+kuN4Z8v30mFy83vTtZEhCJ1QQVKxJf0r2Hzd54RI2L8D1P0yS87eOiLtQzplMggnT2J1AkVKJHquJyes6ekrjDser+he4rKufvjlRzTvjmvTRyunnsidUSdJESqs3Qq5KyDCW9BeKTf0Ld+2kZxhYvHLupPYqz/WBGpPf2pJ3Kw4lzPTbldToQ+5/gN3Z5bwqvzNzOiSxK92zQLUIIiTYMKlMjBvn0QygvhzCdqvCn3sxU7Kalw8chF/QOUnEjToQIlUtXOZbD0dc9gsK38T5GxOaeIdxZuo0ereLqlxAcmP5EmRNegRPazFmb9FWJbwui7/IZuyy1mwssLcbndPDlhYIASFGlaVKBE9lvxAWQsgnOf89z75ENZpYs7PlzB3pIKZtx0An3b6dqTSH1QgRIBzzWnryZD+6Ew6Aq/offPWM3irXk8MX6AipNIPVKBEgGY97hntPJL34Uw35dmv16zm/eXZDB+aAcuHtYxgAmKND3qJCGyZyMsfBEGXwkdhvoNfXX+ZpLiInnwvH4BSk6k6apVgTLGjDXGrDfGpBtjfF49NsaMN8ZYY8ywuktRpB5ZC7PuhIgYGHOf39D07EIWbcnjypGdiIl0BChBkaarxgJljHEAzwPjgL7AZcaYvtXEJQC3AIvqOkmRerN+Jmz6Bkb/DeJb+Qyz1vLA52tJiArnquO6BC4/kSasNmdQI4B0a+1ma20F8D5wXjVxDwKPA2V1mJ9I/akshS//Bim9YcRv/YZ+tWY332/I4c+n9yQlISpACYo0bbUpUO2BjCrvM73LfmWMGQx0tNZ+7u+DjDGTjDFpxpi0nJycw05WpE79+G/Yuw3GPQ6OCJ9hFU43d360gu6t4rn6uM4BTFCkaatNgapurBf760pjwoCngdtr+iBr7SvW2mHW2mEpKSm1z1Kkru3dDvOfgr7nQdeTfYa53JbfvZVGfkklN5yQqpHKRQKoNr9tmUDV/rQdgJ1V3icA/YDvjDFbgWOBGeooISFtzr2e5zMe9hv28S87mLs+hz+f1oNLhqtbuUgg1aZALQF6GGNSjTGRwKXAjP0rrbUF1tpka20Xa20XYCFwrrU2rV4yFjlam+fBmk/gxNsg0X/ReXfRNrq3iudPY3pgahg4VkTqVo0FylrrBG4CZgNrgQ+stauNMQ8YY86t7wRF6pSr0tOtPLEzjLrFb+iuglJ+3r6X8we1U3ESCYJajSRhrZ0JzDxo2WQfsaOPPi2RerJkCuSs9YwYERHtN/Stn7ZhDIzt1zZAyYlIVbriK01HUQ7MfQS6jYFeZ/oNrXS5+XTZTk7onkz3VppKQyQYVKCk6fjmfqgshrGP1jgR4RcrdrFjbynXHt8lIKmJyKFUoKRpyFwKv7wNx94IKT39hjpdbp79diM9WsUzuqfv0SVEpH6pQEnj53bDzL9AfGs46a81hk9ZsIXNOcXcPKYHYWHqHCESLJpuQxq/Ze/Azp/hgpch2v/8Tat2FPDorHUM7dyCs/qrc4RIMOkMShq30r3w9f3QcSQMuMRvqMttufuTVUSGh/H85UNw6OxJJKh0BiWN23ePQkkuXPmR344R1lru/nglyzP28thF/WnT3H8XdBGpfzqDksYrey0sfgWGToR2g/yGpm3L5/0lGVx1bGcmaKZckZCgAiWNk7Uw668QlQBjqr2n/ACf/LKDmAgHd47rrVEjREKECpQ0Tms+hS3fw6n3QGyS39ANuwv55JcdnHFMa+Kj1OotEipUoKTxqSiBOfdA6/4w7Dq/oYVlldzwRhqxUeHcNa53gBIUkdrQn4vS+Cx4GgoyPN3Kwxx+Q6fM38L2vBLe/e1I2jaPCVCCIlIbOoOSxiVvC/zwf9BvPHQ53m9oRl4JL87bxLh+bTiua8sAJSgitaUCJY3L7LshLBzOeLDG0Ie/WIvDGCaf01cdI0RCkAqUNB4rp8P6L+DkO6BZO7+hS7fl8+XqLG4c3U1NeyIhSgVKGoe8LfD5rZ4RI4672W9oVkEZE6cuJiUhiquP6xygBEXkcKlAScPnqoSPbgAMXDQFHP77/vzfNxsoKnfy9vUjSYyNDEyOInLY1ItPGr7vHoEdaXDx65DYyW/onNVZvLc4g7P6t6VXm4TA5CciR0RnUNKwbZ4H85+CwVfBMRf4DbXW8toPW2gRG8HTl/gf+khEgk8FShqu4lz4+HfQsjuMe6zG8C9XZbFwcx6XjehEZLgOfZFQpyY+aZishU//6Bmp/PIPIDLOb/iCjXu46b1f6NAihj+e0j1ASYrI0VCBkoZp8auwYRaMfRTaDvAbWu50ccv7v+AIM7x7w7HEabw9kQZB7RzS8GSt8oy11+MMGPn7GsM/X76LvOIKnp4wiE4tYwOQoIjUBRUoaVgqSmD6dRCTCOe94HcSQoB9ZZX8c+ZaurSMZVy/NgFKUkTqgto6pGGZ/XfYswGu+hjiU2oMf/brjeQWVzD12uGEaQp3kQZFZ1DScKz5FJZOheNvgW6n1Bj+Q/oepizYwoVD2jOgQ2IAEhSRuqQCJQ3D3gyYcTO0GwKn3FNjeEZeCbdOW0anpFgeOK9fABIUkbqmAiWhz+WE/04CtwvG/wfC/Q9PVFbp4g/v/ExhmZOXrhyqWXJFGij95krom/8kbP8RLngFkrrWGP7X6StYuaOAZy4ZRN92zQKQoIjUB51BSWjb9hPMewwGXAIDL6kx/L3F25mxfCd/PKUb5w9uH4AERaS+qEBJ6CrN94xSntgZznyyxvAde0u5++OVjOiSxG2n9wpAgiJSn9TEJ6HJWphxCxRlwfVzILrmprppSzJwW7j7rD441KVcpMFTgZLQ9NSH7FgAABPwSURBVPMbsHYGnPYPaD/Ub6i1lvtmrObNn7ZxYo9kBnZUl3KRxkAFSkJP9jqYdRd0HQ2jbqkx/MV5m3jzp21MHNWFO8f2rvf0RCQwVKAktFSWeYYyioyFC16GMP+XSTPySnjmq42c2b8N953TF1PD0Eci0nCoQElo+WoyZK+Gyz+EBP9j523KKWLSm2mEOwz3nKXiJNLY1KoXnzFmrDFmvTEm3RhzVzXrbzPGrDHGrDDGfGOM6Vz3qUqjt34WLH4ZRt4IPc/wG7p6ZwFXvLqIjLxSXr5qKO0SYwKUpIgESo0FyhjjAJ4HxgF9gcuMMX0PCvsFGGatHQBMBx6v60Slkdu3Cz75A7TpD6f/w29oRl4JFzz/IxUuN//9wyhO7FHzoLEi0vDU5gxqBJBurd1sra0A3gfOqxpgrZ1rrS3xvl0IdKjbNKVRc7vgv78FZxlc9BqER/kMzSooY+LUxWDgjWtH0K998wAmKiKBVJsC1R7IqPI+07vMl+uBWdWtMMZMMsakGWPScnJyap+lNG4/PANb58O4xyClp8+wSpebG99ZSma+p1mvfwcVJ5HGrDYFqrorz7baQGOuBIYBT1S33lr7irV2mLV2WEqKmmUEWPoGfPMgHHMBDL7KZ9ieonKu/s9iftm+l0cu7M8pvVoFMEkRCYba9OLLBDpWed8B2HlwkDHmNOBu4GRrbXndpCeN2pIp8MXt0P00OP8ln7Pj5haVc8ELP7B7XzkPnd+PC4eoBVmkKahNgVoC9DDGpAI7gEuBy6sGGGMGAy8DY6212XWepTQ+C1+CL++EnmNhwps+rzs5XW4embWOjLxS3v3tSEZ1Sw5woiISLDUWKGut0xhzEzAbcACvWWtXG2MeANKstTPwNOnFAx9670XZbq09tx7zlobsx3/DnHug99kwfqrP+Z0qnG7+8M5Svl6bzYk9klWcRJqYWt2oa62dCcw8aNnkKq9Pq+O8pLGa/xR88w/oez5cNAUcET5D3164ja/XZnPLmB7cfGr3ACYpIqFAI0lI4Mx7HOY+DP3Ge4Yxcvg+/PKLK3j2242M6taS20733bNPRBovFSipf9bCd494Jx68FM5/AcIcPsPdbsuDn69hb0klt5+heZ1EmioVKKlf1sI3D8CCp2DQlXDus36L06odBfx1+grW7NrH5SM7MbRziwAmKyKhRAVK6o+18NW9nk4RQyfCWU/7HZ18T1E5V0xZREyEg2cuGcS5A9sFLlcRCTkqUFI/rIUv/waLXoThN8C4J2qcOuOdhdspKK3knRtGaggjEVGBknrgdsOsOzw34o68EcY+4vMm3P0+W76T5+Zu5Kz+bVWcRARQgZK65nbD53/2TNk+6hY4/YEai9PSbfncOm0Zx7RrxsMX9AtQoiIS6lSgpO64XTDjFlj2Npx4O5x6b43FqaTCyR3TlxMT6eC5y4eQGFv9Tbsi0vSoQEndcLs88zmteB9OvgtG31VjcdpbUsEf3vmZzTnFvHDFEDomxQYoWRFpCFSg5Oi5nPDxJFj1EZxyD5x8R42bZBeWcdO7v5C2NY/bT+/Jmf3bBiBREWlIVKDk6Lgq4aPrYc2ncNr9cMKtfsMLSip59tuNvL1wG0635cmLB2p0chGplgqUHDlnBUy/FtZ9Dmc8DKNu8hueva+MK6YsYmN2ERcN6cDNp3anS3JcgJIVkYZGBUqOjLMcPrgGNsyCcY/DyN/5Dc8pLOf6N9LYllvC1GuHa8JBEamRCpQcvpz1nt56GQvhrKdg+PV+wz9dtoMHPltDUbmTpy8ZpOIkIrWiAiW1V1kK8/8FC56ByDi4cAoMuNjvJo9/uY4XvtvEwI6JPDF+AD1bJwQoWRFp6FSgpHY2fQuf3wb5W2DAJZ5rTvEpfjd5bcEWXvhuE+cPaseTFw8k3OF/qCMRkapUoMS/wt0w+++wajokdYOrP4Wuo/1usj23hBfnpfPe4gz6tW/GoxcNUHESkcOmAiXVc7th6VT4+h/gLPXcfHvCrRAR7XezhZtzmfRmGvvKnFw4uD0PXdCP6Ajf02uIiPiiAiWHylrlGU8vcwl0ORHOfhqSe/jdJLeonFs/WM73G3JISYhixg0jGdAhMUAJi0hjpAIl/1NRDN89Cj89DzGJnmnZB1xS45BFuUXlTHj5JzLzS/nzaT246tjOtIyPClDSItJYqUCJx/ovYeYdULAdhlwNp/0DYpOqDa10uVm4OZdZq7LYnFPEuqxCisudvHHdCEZ1Sw5w4iLSWKlANXUFO+DLO2HtZ5DSB679EjofV23ottxivli5i9d/2Ep2YTnxUeH0apPAiT1SuHJkJ0Z2bRng5EWkMVOBaqrcLlj8Cnz7ELidMGYyHHczhB863cXcddm8/uNWvt+Yg7XQu00C9597DKf2bqUOECJSb1SgmqIdP3s6QexaDt1PgzOfhKTUQ8K+Xbebp77awKod+2jdLIo/jenBJcM70rZ5TBCSFpGmRgWqKSnJg3mPec6c4lJg/FQ45oJDOkHsKijl0Vnr+HTZTrqlxPGXM3oy6aRuRIbrXiYRCRwVqMbOWQ4bZsOKabBxjmd6jOE3wJh7Ibr5AaHbcot5df5mPliSictarj2+C3/9TW9iItWMJyKBpwLVGLndsP0nT1Fa8wmUFUBcKxj+Wxh8BbQ+5oDwLXuKeWTmWuas2U14mGFc/7b8aUx3urfSuHkiEjwqUI1J9jpPUVr5IRRkQEQc9DkHBkyA1JPBceB/99Jt+Tw/N52567OJCg/jdyd35cqRnTX1uoiEBBWohq4wyzPV+oppnk4PJgy6nerpldf7LM+o414lFU4Wbc5jY3Yhs1fvZum2fJrHRPDH0d25ZlQXUhJ0c62IhA4VqIaovMgzi+2KabD5O7BuaDcYxj4Kx1wICa0PCHe5LffPWM1HP2dSUuECoH1iDH8a04Prjk+leWxEEP4RIiL+qUA1FC4nbJ7rKUrrvoDKEkjsBCfeDv0nQErPQzYpLKvk/cUZvDhvE3nFFYzoksSNp3RjYIdEEmMiCAvzP4SRiEgwqUCFKms915F2LYetCzzNeMU5EJ0IAy/1jJHXcSQYQ4XTzY49xWzLLWb1zn0sy9jLqh0F7CooA+C4ri25+rjOjO3XBlPDuHoiIqFCBSoUuN2Qt8lTjPY/slZAab5nvSMSeo71FKbup7E6u4xZK7OY+8kC9pZUsqugFLf938elJscxMjWJHq0TOLZrEkM7Vz+mnohIKFOBCjRXJeSs8xaiFZ7n3augosiz3hHp6Qbe51xoOxDaDsS26kPaznIWbNzDzz8sY/7GPQAkxUXSt20zLhragU5JsXRsEUOvNgkkxh46XJGISEOjAlWfKkth92rYtex/xSh7DbgqALARcZQlH0Nu5wvISehDVmxPdoR3orDSUFTuJCe9nPULCtmW9z1llW6Mga7Jcfz5tB5MHNVFhUhEGjUVqCNVWerp4l202/NcmAVFWZ4p0ouyoGAHNjcdYz295ioiE8lN6M26xItY4e7MCmcXVpS0JGdLZZUPrQDSAYiLdJAYG0nvNgmc2COZPm2b8Zt+bYiP0n+ZiDQNtfq2M8aMBf4PcABTrLWPHrQ+CngTGArkApdYa7fWbaoBUl74vyJTpfC4C3fj3rcL974swoqyCK8sPGRTJ+Hkh7Ug17Qgmxascp/PsspOrHKnsrOsJewzxEeF06dtAs0TIzk5NoJ+7ZoxoGMizaLDiYsKJz4qnLjIcPWwE5Emr8YCZYxxAM8DpwOZwBJjzAxr7ZoqYdcD+dba7saYS4HHgEvqI+FfuV2epjJXJe6KEpxl+3CVFeEuL8JdVoirtIiK0kKcZYW4Sgtxlxdhy4uwFUWYimLCKotxOEtwOIuJcJUQ4Solyl1ClC0/5EeV2wh220SyaUG2bUG2TfU8k0i2TSTbtqAsKpkWyW2Ii44kNtJBXFQ4ibERnJgcx4TmMaQkRNGqWRTJ8VFEODToqohITWpzBjUCSLfWbgYwxrwPnAdULVDnAfd7X08HnjPGGGutxYfi3ZtIe/xsjLsSh60kzDpxuJ2E20oceJ+ti3AqCbdOInASjud9hHXiMP/76DCgpqsxFdZBMTEUE02JjaKEaIqJptwkUh7WjgpHLJWRsZRGJFIclUJZVAoVMa2ojEkhLDaR2MgI4qIcJESH06NFLAMjHcRGhhMb6SAm0kFiTAThKjwiInWmNgWqPZBR5X0mMNJXjLXWaYwpAFoCe6oGGWMmAZMA+reNIqV8Gy4TjttE4DIROB0RVITF4jbhuMM8y9xhEVgTjtvhfV314YiAsAjcjhicEXG4w2NxRcTijojHRMUTERNPRExzomMTiI6JIS7KU1CSvYUlKjxM9wWJiISo2hSo6r7BDz4zqk0M1tpXgFcAhg0bZjvfm1aLHy8iIk1RbdqkMoGOVd53AHb6ijHGhAPNgby6SFBERJqm2hSoJUAPY0yqMSYSuBSYcVDMDOAa7+vxwLf+rj+JiIjUpMYmPu81pZuA2Xi6mb9mrV1tjHkASLPWzgD+A7xljEnHc+Z0aX0mLSIijV+t7oOy1s4EZh60bHKV12XAxXWbmoiINGXqFy0iIiFJBUpEREKSCpSIiIQkFSgREQlJKlAiIhKSVKBERCQkmWDdT2uMKQTWB+WHH71kDhpnsAFR7sGh3INDuQdPL2ttwtF8QDBnv1tvrR0WxJ9/xIwxaco98JR7cCj34GjIuYMn/6P9DDXxiYhISFKBEhGRkBTMAvVKEH/20VLuwaHcg0O5B0dDzh3qIP+gdZIQERHxR018IiISklSgREQkJNVLgTLGJBpjphtj1hlj1hpjjjPG3G+M2WGMWeZ9nOlj27HGmPXGmHRjzF31kd8R5D6tSt5bjTHLfGy71Riz0hsX0PnsjTG9quS4zBizzxjzZ2NMkjHmK2PMRu9zCx/bX+ON2WiMuaa6mCDk/oT3/2GFMeZjY0yij+1Dcb+H/PHuJ/eQP969P/9WY8xqY8wqY8x7xpho78Sqi7zH8TTvJKvVbfs37z5fb4z5TYjk/o43n1XGmNeMMRE+tnVV+f85ePLYYOX+ujFmS5W8BvnY9vC+Z6y1df4A3gBu8L6OBBKB+4G/1LCdA9gEdPVutxzoWx85Hk7uB63/FzDZx7ZbgeRA5utnP2YBnYHHgbu8y+8CHqsmPgnY7H1u4X3dIgRyPwMI9y5/rLrcQ3i/N4jjvbrcD1oeksc70B7YAsR4338ATPQ+X+pd9hJwYzXb9vXu6ygg1ft/4AiB3M8EjPfxXnW5e+OLgrHPa8j9dWB8Ddse9vdMnZ9BGWOaASfhmWUXa22FtXZvLTcfAaRbazdbayuA94Hz6jpHX2rK3RhjgAl4Dp5QNgbYZK3dhmf/veFd/gZwfjXxvwG+stbmWWvzga+AsQHJ9FC/5m6tnWOtdXqXLwQ6BCmn2qq632sjqMf7QQ7JvQEc7+FAjDEmHIgFdgGnAtO9630d7+cB71try621W4B0PP8XgXRw7juttTOtF7CY0D3eD8m9ltsd9vdMfTTxdQVygKnGmF+MMVOMMXHedTd5m2te89HU1B7IqPI+07ssUPzlDnAisNtau9HH9haYY4xZaoyZVN/J+nEp//tSaW2t3QXgfW5VTXyw93tVVXOv6jpglo9tQnG/Q+gf71VVt99D9ni31u4AngS24ylMBcBSYG+VP2p87c+g7vfqcrfWztm/3tu0dxXwpY+PiDbGpBljFhpjqivA9aaG3B/2Hu9PG2Oiqtn8sPd7fRSocGAI8KK1djBQjKdp6UWgGzAIzz/sX9Vsa6pZFsh+8L5y3+8y/P81eby1dggwDvijMeakesvUB2+b+7nAh4ezWTXLAn7/ga/cjTF3A07gHR+bhuJ+bwjHuycJ38dMyB7v3oJ/Hp4munZAnDePg1W3P4O636vL3RhzZZWQF4DvrbXzfXxEJ+sZAuly4BljTLd6TbgKP7n/DegNDMfThHdndZtXs8zvfq+PApUJZFprF3nfTweGWGt3W2td1lo38CrVn1JnAh2rvO9A7U8f60K1uQN4T2cvBKb52thau9P7nA18TOCbDcDzS/qztXa39/1uY0xbAO9zdjXbBHu/73dw7ngvpJ4NXOFt+jhEKO73BnK871fdfg/14/00YIu1NsdaWwn8FxgFJHpzB9/7M9j73VfuGGPuA1KA23xtXGW/bwa+AwbXd8JVVJu7tXaXt3WyHJhKHR3vdV6grLVZQIYxppd30Rhgzf4vSa8LgFXVbL4E6OHtiROJp9khYL1UfOXufX0asM5am1ndtsaYOGNMwv7XeC7wV/dvrG8H/9U7A9jfW+Ya4NNqtpkNnGGMaeH9C+kM77JAOyB3Y8xYPH+JnWutLalug1Dd7w3heK+iujOlUD/etwPHGmNivdfK9v+uzgXGe2N8He8zgEuNMVHGmFSgB55rPoFSXe5rjTE34LlOc5n3D5tDeH9Ho7yvk4Hj+d93VCD4yn3/H8EGz3W/6o6Fw/+eqaeeHoOANGAF8AmeHhtvASu9y2YAbb2x7YCZVbY9E9iAp2fN3fWR3+Hm7l3+OvD7g2J/zR3P9avl3sfqIOUeC+QCzassawl8A2z0Pid5lw8DplSJuw7PxeJ04NoQyT0dT5v1Mu/jpQa03xvK8X5I7t7lDeF4/wewDs+X4Vt4euV1xVNs0vE0WUZ5Y88FHqiy7d3efb4eGBciuTu9Oe0/3id7Y3/9XcVzprXSu99XAteHSO7fevNZBbwNxB+cu/f9YX3PaKgjEREJSRpJQkREQpIKlIiIhCQVKBERCUkqUCIiEpJUoEREJCSpQImISEhSgRIRkZD0/8WgiWkzmVTvAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cdf_mu = Cdf.from_seq(trace['mu'])\n", "cdf_mu.plot()\n", "marginal_mu_n.make_cdf().plot()\n", "\n", "decorate(xlim=[65, 85])" ] }, { "cell_type": "code", "execution_count": 187, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cdf_sigma = Cdf.from_seq(trace['sigma'])\n", "cdf_sigma.plot()\n", "marginal_sigma_n.make_cdf().plot()\n", "\n", "decorate()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }